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WorksheetsSolving 1 step inequalities (flipping the sign)
Total questions: 20
Worksheet time: 2hrs 40mins
Name
Class
Date
1.
Select the inequality that will require "flipping/switching the symbol."
a)
x - 2 > -18
b)
x + 2 > -18
c)
2x > -18
d)
-2x > -18
2.
When solving an inequality, if you divide by a negative, you have to FLIP the sign.
a)
true
b)
false
3.
When solving an inequality, if you add a negative, you have to FLIP the sign.
a)
true
b)
false
4.
Does the sign need to flip when solving this inequality?
3k ≥ -15
3k ≥ -15
a)
Yes
b)
No
5.
Solve
-9h > -63
-9h > -63
a)
h < 7
b)
h > 7
c)
h < -7
d)
h > -7
6.
32 ≥ -16p
a)
p ≥ 2
b)
p ≥-2
c)
p ≤ -2
d)
p < 48
7.
-8x < 48
a)
x < -6
b)
x > -6
c)
x < 6
d)
x > 6
8.
Find the solution to... −2k< 10
a)
k < -5
b)
k > -5
c)
k < -20
d)
k > -20
9.
Select the inequality that will NOT require "flipping/switching the symbol."
a)
−8b> −16
b)
-8b > -16
c)
b - 8 > -16
10.
−3k< 16
Does the sign need to flip when solving?
a)
Yes
b)
No
11.
Does the sign need to flip when solving this inequality?
3k ≥ -15
3k ≥ -15
a)
Yes
b)
No
12.
−3z≤−3
a)
z≤−1
b)
z > 9
c)
z ≤ 9
d)
z ≥9
13.
−5a≤5
a)
a ≤ 1
b)
a ≥ −25
c)
a > 1
d)
a ≤−25
14.
When do we switch the inequality symbol?
a)
when multiplying or dividing by a NEGATIVE
b)
when adding and subtracting a NEGATIVE
c)
we never switch the inequality
d)
When there is a negative in the problem
15.
Level 3
Solve the inequality. Graph the solution.
-11w > -11
a)
b)
c)
d)
16.
Solve
a)
x < -96
b)
x < 20
c)
x = 6
d)
x > 96
17.
−3n>20
a)
n > -60
b)
n < -17
c)
n < -60
d)
n < -23
18.
−13a≥−8
a)
a ≥ 104
b)
a ≤ 5
c)
a ≤ 104
d)
a ≥ -8/13
19.
Level 3
Solve the inequality.
a)
x ≤ 6
b)
x ≥ 6
c)
x ≤ -6
d)
x ≥ -6
20.
−7y≤−8
a)
y ≤ -56
b)
y > 56
c)
y ≥ 56
d)
y ≥ -56
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